Can anyone tell me what these anemones are and if they are ok to have in my tank. From doing some searches online they could possibly be bad and spread or they could be fine. Any input would be great. If they are infact bad any easy ways to get rid of them? Ive read vinegar in a syringe?

looks like aiptasia not sure. do an image search for aiptasia to see for sure. yea they are bad and can take over your tank. there are several ways to get rid of them. If you do a search on here for it there are several threads explaining them.

I recently purchased a small piece of Anthelia I believe its called. Looks like waving hands. Well it was nice and perky in the store, i got it home and its attached a tiny piece of rock. I placed it on a live rock in my tank and it continues to fall off. Also i cant get it to grow perky like it did in the store. Am I doing something wrong our maybe I have to wait for it to get used to the tank?